Recent progress in applying lattice QCD to kaon physics

Abstract

Abstract. Standard lattice calculations in kaon physics are based on the evaluation of matrix elements of local operators between two single-hadron states or a single-hadron state and the vacuum. Recent progress in lattice QCD has gone beyond these standard observables. I will review the status and prospects of lattice kaon physics with an emphasis on non-leptonic K → ππ decay and long-distance processes including K 0 -K 0 mixing and rare kaon decays.

Updated evaluation of ϵK in the standard model with lattice QCD inputs

“…[32] and its sibling papers [33][34][35]. 4 Both of them have been developed on top of the building blocks designed for K 3 decays in Refs. [37][38][39].…”

“…CP violation serves as a natural place to search for new physics [1,2]. The CP violation in the neutral kaon system is, in particular, attractive to us, because the experimental results are already extremely precise [3], and lattice QCD allows us to perform a high precision calculation in kaon physics [4]. In this paper, we focus on the indirect CP violation parameter ε K , which we want to determine using lattice QCD inputs.…”

“…Hence, if there exists another phase coming from new physics, ε K is a natural place to find it, since ε K is highly sensitive * E-mail: wlee@snu.ac.kr to it. Therefore, it has been one of the top priorities in lattice QCD to calculate ε K to the highest possible precision [4].…”

“…Here, HQET is an abbreviation for the Heavy Quark Effective Theory 4. There exists a variant of the BGL method which is often referred to as the "BCL method"[36].…”

Fierz transformations and renormalization schemes for fourquark operators

“…However, for two of these quantities, these SMOM results are inconsistent with the ones obtained through the traditional RI-MOM intermediate scheme (with exceptional kinematics). We refer the reader to [11] for a review on the subject at this conference and to [12] for more details on the recent RBC-UKQCD results.…”